Step by step solution for calculating 3 is 12 percent of what number

We currently have our first value 3 and the second value 12. Let"s i think the unknown worth is Y i m sorry answer us will find out.

You are watching: 3 is what percent of 12

As we have all the compelled values us need, currently we can put them in a straightforward mathematical formula together below:

STEP 13 = 12% × Y

STEP 23 = 12/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 12 we will arrive at:

STEP 3Y = 3 × 100/12

STEP 4Y = 3 × 100 ÷ 12

STEP 5Y = 25

Finally, we have discovered the value of Y i m sorry is 25 and also that is ours answer.

You can conveniently calculate 3 is 12 percent the what number by using any type of regular calculator, simply enter 3 × 100 ÷ 12 and also you will obtain your answer i m sorry is 25

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Sample questions, answers, and also how to

Question: your friend has actually a bag that marbles, and also he speak you the 12 percent the the marbles room red. If there room 3 red marbles. How countless marbles does he have altogether?

Answer: 25 marbles.

How To: In this problem, we know that the Percent is 12, and we are also told the the component of the marbles is red, for this reason we recognize that the component is 3.

So, that way that it have to be the full that"s missing. Right here is the method to number out what the complete is:

Part/Total = Percent/100

By making use of a basic algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

If us take the "Part" and multiply the by 100, and also then we division that by the "Percent", us will obtain the "Total".

Let"s shot it out on our problem about the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 3.

So action one is to simply multiply that component by 100.

3 × 100 = 300

In action two, we take the 300 and divide that by the "Percent", i beg your pardon we space told is 12.

So, 300 divided by 12 = 25

And that method that the total variety of marbles is 25.

Question: A high school marching band has actually 3 flute players, If 12 percent the the band members play the flute, climate how plenty of members room in the band?

Answer: There space 25 members in the band.

How To: The smaller sized "Part" in this problem is 3 because there are 3 flute players and we room told the they consist of 12 percent that the band, for this reason the "Percent" is 12.

Again, it"s the "Total" that"s missing here, and also to uncover it, we simply need to monitor our 2 action procedure as the ahead problem.

For action one, us multiply the "Part" through 100.

3 × 100 = 300

For action two, we divide that 300 by the "Percent", i m sorry is 12.

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300 split by 12 amounts to 25

That method that the total variety of band members is 25.

Another action by step method

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 12% / 3

Drop the portion marks to leveling your calculations: 100 / Y = 12 / 3

Multiply both political parties by Y to relocate Y ~ above the right side of the equation: 100 = ( 12 / 3 ) Y